Geometry

Pythagorean Identities

Visualizing Pythagorean Identities

         

The diagram above implies a2+o2=h2 a^2 + o^2 = h^2 . What Pythagorean identity is derived when both sides of the equal sign are divided by o2 o^2 ?

Which of these equations cannot be derived from the others?

Which of the following is equivalent to r? r ?

Which identity is directly implied by applying the Pythagorean Theorem to triangle ABC?ABC?

Remember: the Pythagorean Theorem says that AB2+BC2=AC2.AB^2 + BC^2 = AC^2.

Which identity can be obtained by dividing both sides of sin2(θ)+cos2(θ)=1 \sin^2(\theta) + \cos^2(\theta) = 1 by cos2(θ)? \cos^2(\theta) ?

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